{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Numpy数组创建: 3种方法\n",
    "\n",
    "---\n",
    "个人信息:  \n",
    "- 姓名: 李文\n",
    "- 年级: 2020级\n",
    "- 专业: 智能科学与技术\n",
    "- 班级: 20智能科学与技术2班\n",
    "---\n",
    "\n",
    "- 诚信守则:  \n",
    "    - 我承诺该报告内容**为我个人书写非直接抄袭所得。**\n",
    "    - 我**可以解释答题思路并复现我的答案。**\n",
    "    - 如无法实现以上要求，**我愿意承担由此带来的后果。**\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 直接转化\n",
    "# 演示代码: 使用np.array把Python列表 → numpy数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "l1 shape :(3,)\n",
      "+---+---+---+\n",
      "| 1 | 2 | 3 |\n",
      "+---+---+---+\n",
      "\n",
      "l2 shape :(2, 3)\n",
      "+---+---+---+\n",
      "| 1 | 2 | 3 |\n",
      "+---+---+---+\n",
      "| 4 | 5 | 6 |\n",
      "+---+---+---+\n",
      "\n",
      "l3 shape :(2, 3, 3)\n",
      "+---------------+---------------+---------------+\n",
      "| [255 255   0] | [255   0   0] | [  0 255   0] |\n",
      "+---------------+---------------+---------------+\n",
      "| [125 255 255] | [255   0 255] | [0 0 0]       |\n",
      "+---------------+---------------+---------------+\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# l1: 一维列表 1,2,3\n",
    "l1 = [1, 2, 3] \n",
    "\n",
    "# l2: 二维列表\n",
    "# +---+---+---+\n",
    "# | 1 | 2 | 3 |\n",
    "# +---+---+---+\n",
    "# | 4 | 5 | 6 |\n",
    "# +---+---+---+\n",
    "l2=[\n",
    "    [1,2,3],\n",
    "    [4,5,6]\n",
    "]\n",
    "\n",
    "# l3: 三维列表\n",
    "# +-----------------+---------------+-------------+\n",
    "# | [255, 255, 0]   | [255, 0, 0]   | [0, 255, 0] |\n",
    "# +-----------------+---------------+-------------+\n",
    "# | [125, 255, 255] | [255, 0, 255] | [0, 0, 0]   |\n",
    "# +-----------------+---------------+-------------+\n",
    "l3=[\n",
    "    [[255,255,0], [255,0,0],[0,255,0]],\n",
    "    [[125,255,255],[255,0,255],[0,0,0]]\n",
    "]\n",
    "\n",
    "# 一般情况下 import 要放在首行\n",
    "# 这里是为了大家能够看的更加的清楚\n",
    "import numpy as np # 引入numpy\n",
    "from tabulate import tabulate # 引入tabulate第三方包，为了之后的美化打印 \n",
    "\n",
    "# 把l1,l2,l3转化成numpy数组\n",
    "l1=np.array(l1)\n",
    "l2=np.array(l2)\n",
    "l3=np.array(l3)\n",
    "\n",
    "# 构建要打印的结果长字符串，包括\n",
    "# - l1,l2,l3的结构\n",
    "# - 用 tabulate 美化显示的l1,l2,l3的内容\n",
    "# 注意：tabulate不支持一维数组，所以要把 l1 放在一个列表中 [l1]\n",
    "result=f'''\n",
    "l1 shape :{l1.shape}\n",
    "{tabulate([l1],tablefmt='grid')}\n",
    "\n",
    "l2 shape :{l2.shape}\n",
    "{tabulate(l2,tablefmt='grid')}\n",
    "\n",
    "l3 shape :{l3.shape}\n",
    "{tabulate(l3,tablefmt='grid')}\n",
    "'''\n",
    "\n",
    "print(result) #打印最终结果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 通过图像获得\n",
    "# 演示代码: 使用Scikit-image和OpenCV载入图像→使用matplotlib绘制2子图，2子图部分截图，以及部分截图对应的Numpy数组内容"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "img_rgb左上角5*5内容:\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "| [135 178 212] | [136 176 211] | [134 172 208] | [134 170 206] | [135 170 208] |\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "| [133 173 208] | [134 172 208] | [135 173 209] | [137 172 210] | [139 173 211] |\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "| [138 174 210] | [140 176 212] | [142 177 215] | [143 177 215] | [143 177 215] |\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "| [135 169 206] | [136 170 208] | [137 171 209] | [136 170 208] | [135 169 207] |\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "| [141 170 210] | [139 171 210] | [138 172 210] | [138 171 212] | [136 171 211] |\n",
      "+---------------+---------------+---------------+---------------+---------------+\n",
      "\n",
      "img_gray左上角5*5内容:\n",
      "+-----+-----+-----+-----+-----+\n",
      "| 169 | 168 | 165 | 163 | 164 |\n",
      "+-----+-----+-----+-----+-----+\n",
      "| 165 | 165 | 166 | 166 | 167 |\n",
      "+-----+-----+-----+-----+-----+\n",
      "| 167 | 169 | 171 | 171 | 171 |\n",
      "+-----+-----+-----+-----+-----+\n",
      "| 163 | 164 | 165 | 164 | 163 |\n",
      "+-----+-----+-----+-----+-----+\n",
      "| 166 | 166 | 166 | 166 | 165 |\n",
      "+-----+-----+-----+-----+-----+\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# 引入适当模块\n",
    "from skimage import io\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "from tabulate import tabulate\n",
    "\n",
    "img_rgb = io.imread(\"dog.jpg\")     # 用skiamge读取RGB图: dog.jpg\n",
    "img_gray = cv.imread(\"dog.jpg\",0) # 用OpenCV读取RGB图 dog.jpg 的灰度图\n",
    "\n",
    "img_rgb_rlc=img_rgb[0:5,0:5]   # 截取RGB图像的左上角25格像素\n",
    "img_gray_rlc=img_gray[0:5,0:5] # 截取灰度图的左上角25格像素\n",
    "\n",
    "# 构建RGB图像信息字符串\n",
    "info_img_rgb=f'''\n",
    "type: {type(img_rgb)}\n",
    "element type: {img_rgb.dtype}\n",
    "shape: {img_rgb.shape}\n",
    "'''\n",
    "\n",
    "# 构建灰度图图像信息字符串\n",
    "info_img_gray=f'''\n",
    "type: {type(img_gray)}\n",
    "element type: {img_gray.dtype}\n",
    "shape: {img_gray.shape}\n",
    "'''\n",
    "\n",
    "# 构建一个2行2列(4个)子图画板\n",
    "fg,ax=plt.subplots(2,2,figsize=(6,6))\n",
    "# 第一行显示：彩图和灰度图\n",
    "ax[0,0].imshow(img_rgb)\n",
    "ax[0,0].set_title(info_img_rgb,loc='left')\n",
    "ax[0,1].imshow(img_gray, cmap='gray')\n",
    "ax[0,1].set_title(info_img_gray,loc='left')\n",
    "\n",
    "# 第二行显示：彩图和灰度图的左上角25格像素值\n",
    "# 通过vmin和vmax确保全色域匹配，否则显示的效果会选择图像中最暗的像素值为0，最亮的像素值为255\n",
    "ax[1,0].imshow(img_rgb_rlc,vmin=0,vmax=255)\n",
    "ax[1,0].set_title('img_rgb upper left corner 5*5:')\n",
    "ax[1,1].imshow(img_gray_rlc,vmin=0,vmax=255,cmap='gray')\n",
    "ax[1,1].set_title('img_gray upper left corner 5*5:')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# 用表格的形式显示出来两幅图左上角对应的numpy数组内容\n",
    "result=f'''\n",
    "img_rgb左上角5*5内容:\n",
    "{tabulate(img_rgb_rlc,tablefmt='grid')}\n",
    "\n",
    "img_gray左上角5*5内容:\n",
    "{tabulate(img_gray_rlc,tablefmt='grid')}\n",
    "'''\n",
    "\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 用Numpy内置的函数自动创建\n",
    "# 生成随机数numpy数组\n",
    "演示代码: 使用np.random.randint函数生成某一个结构的随机整数数组→ 并使用pyplot接口或者Seaborn模块把数组绘制出来"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-----+----+-----+----+\n",
      "| 247 | 32 | 176 | 79 |\n",
      "+-----+----+-----+----+\n",
      "|  38 | 54 |  54 | 54 |\n",
      "+-----+----+-----+----+\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "########### 引入合适的包 ##############\n",
    "from numpy.random import randint    #\n",
    "import matplotlib.pyplot as plt     #\n",
    "from tabulate import tabulate       #\n",
    "import seaborn as sns               #\n",
    "#####################################\n",
    "# 不要被以下的代码的复杂程度吓到         #\n",
    "# 大部分的代码都是用来\"画画\"的 :)       #\n",
    "#####################################\n",
    "\n",
    "# ----------------------------- 1. 生成数组 ----------------------------- #\n",
    "# size=(2,4) : 生成一个2行4列的二维数组\n",
    "# 0,256      : 每一个数值都是介于[0,256)的随机数, 注意256取不到\n",
    "X=randint(0,256,size=(2,4)) \n",
    "\n",
    "# 使用tabulate的网格模式打印数组内容\n",
    "print(tabulate(X,tablefmt='grid'))\n",
    "\n",
    "# ----------------------------- 2. 绘制数组 ----------------------------- #\n",
    "############ 第 1 种方式绘制图像 ##############\n",
    "# 把以上随机二维矩阵使用plt接口绘制出来\n",
    "# vmin=0   : 最暗颜色对应像素值0\n",
    "# vmax=255 : 最亮颜色对应像素值0\n",
    "plt.imshow(X, vmin=0, vmax=255,cmap='gray') \n",
    "plt.colorbar() # 显示图像颜色与数值对应标尺\n",
    "plt.axis('off') # 关闭图像的本身的数值标尺\n",
    "plt.show() # 显示图像\n",
    "\n",
    "############ 第 2 种方式绘制图像 ##############\n",
    "# 把以上图形用seaborn包的heatmap显示出来\n",
    "# vmin=0, vmax=255\n",
    "# square=Ture : 用正方块显示每一个像素\n",
    "# annot=True  : 每一个像素上显示对应的数字\n",
    "# fmt='.0f'   : 小数点后面取0位\n",
    "sns.heatmap(X, vmin=0, vmax=255,square=True,annot=True,fmt='.0f',cmap='gray')\n",
    "\n",
    "# 通过plt调节图像的细节\n",
    "# labeltop=True     :  在图像上端显示x轴\n",
    "# labelbottom=False :  把图像下端显示的数字去除\n",
    "# bottom=False      :  把图像下端显示的数轴线段去除\n",
    "# rotation=0        :  把x和y轴的数字都调节为竖向显示\n",
    "plt.tick_params(labeltop=True,labelbottom=False, bottom=False,rotation=0)\n",
    "plt.show() # 显示图像"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "演示代码: 使用np.random.randn生成一组符合标准正态分布（mean=0, stdev=1）的数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 引入适当的包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#生成1百万个标准正态分布随机数\n",
    "x=np.random.randn(1000000) \n",
    "\n",
    "plt.hist(x,bins=100) #用100个区间绘制这些数字的直方图\n",
    "plt.show() #显示数字"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "演示代码: 使用np.random.rand生成一组符合均匀分布范围在 [0,1) 的数的数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 引入适当的包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成一组符合均匀分布范围在 [0,1) 的数的数组\n",
    "x=np.random.rand(1000000) \n",
    "\n",
    "plt.hist(x,bins=100) #用100个区间绘制这些数字的直方图\n",
    "plt.show() #显示数字"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 生成指定值numpy数组\n",
    "演示代码: 利用np.zeros生成指定形状的全0的numpy数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0 0 0]\n",
      " [0 0 0]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np #引入numpy\n",
    "\n",
    "x = np.zeros((2,3),dtype=int) #构建一个2行3列的整数0数组\n",
    "\n",
    "print(x) # 打印x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "演示代码: 使用np.ones创建指定结构的，全1的numpy数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1 1 1 1]\n",
      " [1 1 1 1]\n",
      " [1 1 1 1]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np #引入numpy\n",
    "\n",
    "x = np.ones((3,4),dtype=int) #构建一个3行4列的整数1数组\n",
    "\n",
    "print(x) # 打印x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "演示代码: 使用np.eye构建对角线是1，其余都是0的单位矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.  0.  0.  0.]\n",
      " [ 0.  1.  0.  0.]\n",
      " [ 0.  0.  1.  0.]\n",
      " [ 0.  0.  0.  1.]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np #引入numpy\n",
    "\n",
    "x = np.eye(4) # 构建对角线是1，其余都是0的单位矩阵\n",
    "\n",
    "print(x) # 打印x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 生成等分序列numpy数组\n",
    "演示代码: 使用numpy.arange生成等分的numpy数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.   0.2  0.4  0.6  0.8]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np #引入numpy\n",
    "\n",
    "x=np.arange(0,1,0.2) # 以0.2位间距，从0开始构建等差数列，确保 <1\n",
    "\n",
    "print(x) # 打印x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "演示代码: 使用np.linspace生成等分的numpy列表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.    0.25  0.5   0.75  1.  ]\n",
      "[ 0.   0.2  0.4  0.6  0.8]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np #引入numpy\n",
    "\n",
    "# 用linspace构建一个等差序列\n",
    "# 0<= x <=1\n",
    "# 且整个序列包含5个值\n",
    "x=np.linspace(0,1,5) \n",
    "print(x)\n",
    "\n",
    "# 用linspace构建一个等差序列\n",
    "# 0<= x <1\n",
    "# 且整个序列包含5个值\n",
    "y=np.linspace(0,1,5,endpoint=False)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 代码练习："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1.创建一个全0一个全1的数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "x0  shape:  (2, 5)\n",
      "x0  content:[[0 0 0 0 0]\n",
      " [0 0 0 0 0]]\n",
      "x1  shape:  (5, 2)\n",
      "x1  content:[[1 1]\n",
      " [1 1]\n",
      " [1 1]\n",
      " [1 1]\n",
      " [1 1]]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "  #  引入numpy数组\n",
    "x0  =  np.zeros((2,5),dtype=int)\n",
    "  #  构建  2行  5列  整型  numpy  全0数组  x0\n",
    "x1  =  np.ones((5,2),dtype=int)\n",
    "  #  构建  5行  2列  整型  numpy  全1数组  x1\n",
    "  #  构建结果多行字符串\n",
    "  #  针对x0,x1打印其结构和完整内容\n",
    "info=f'''\n",
    "x0  shape:  {x0.shape}\n",
    "x0  content:{x0}\n",
    "x1  shape:  {x1.shape}\n",
    "x1  content:{x1}\n",
    "'''\n",
    "print(info)  #打印字符串内容"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2.构建对角线矩阵并绘制出其对应的图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  引入合适的模块\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "x  =  np.eye(100)\n",
    "  #  构建一个  100*100  的对角线为1其余为0的numpy数组\n",
    "  #  用plt绘制x对应的图像\n",
    "plt.imshow(x, cmap='gray') #  色彩模式为:  灰白\n",
    "#  plt.show()  测试代码不能直接显示\n",
    "#  请把plt.show()的结果保存到  out.png  中\n",
    "#  要求使用bbox_inches属性实现显示结果尽量少空白内容\n",
    "plt.savefig('out.png', bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3.绘制等差数列对应图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  引入合适的模块\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "#  所以要把x转化为一个二维列表:  [x]即可#  生成等差数列  numpy  数组\n",
    "#  范围:  [0,255]\n",
    "#  步长:  5\n",
    "x  =  np.arange(0,256,5)\n",
    "#  用plt绘制x对应的图像\n",
    "#  注意  x  为一维列表无法显示成图像\n",
    "\n",
    "plt.imshow([x],vmin=0, vmax=255,cmap='gray') #  色彩模式为:  灰白\n",
    "plt.axis('off')#  关闭图像的所有数值标尺\n",
    "#  plt.show()  测试代码不能直接显示\n",
    "#  请把plt.show()的结果保存到  out.png  中\n",
    "#  要求使用bbox_inches属性实现显示结果尽量少空白内容\n",
    "plt.savefig('out.png', bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4.绘制两种随机量对应的折线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  引入合适的模块\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "#  此句话限制在不同平台生成随机数相同\n",
    "#  以便之后答案的审核\n",
    "np.random.seed(2021)  \n",
    "size=100  #  此变量控制之后要生成多少个数\n",
    "#  设置x轴为等差数列\n",
    "#  范围:  [0,50]\n",
    "#  包含数字个数:  size\n",
    "x=np.linspace(0,50,size)\n",
    "\n",
    "\n",
    "y1=np.random.randn(size)\n",
    "  #  生成size个满足标准正太分布的数,  存入y1\n",
    "y2=np.random.rand(size)\n",
    "  #  生成size个介于0和1的，均匀分布的随机数,  存入y2\n",
    "plt.plot(x,y1)  #  画出一个  x  ->  y1  一一对应的折线图\n",
    "plt.plot(x,y2)  #  画出一个  x  ->  y2  一一对应的折线图\n",
    "\n",
    "#  plt.show()  测试代码不能直接显示\n",
    "#  请把plt.show()的结果保存到  out.png  中\n",
    "#  要求使用bbox_inches属性实现显示结果尽量少空白内容\n",
    "y1=plt.savefig('out.png',bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5.绘制随机噪点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  引入合适的模块\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "#  此句话限制在不同平台生成随机数相同\n",
    "#  以便之后答案的审核\n",
    "np.random.seed(2021)  \n",
    "#  绘制100*100的随机整数numpy数组\n",
    "#  每一个整数的范围是:  [0,255]\n",
    "x  =  np.random.randint(0,256,size=(100,100))\n",
    "#  用plt把x的图像显示出来\n",
    "plt.imshow(x,cmap='gray',vmin=0, vmax=255)  #  最小最大值设置为0和255\n",
    "plt.axis('off')\n",
    "  #  关闭图像的所有数值标尺\n",
    "#  plt.show()  测试代码不能直接显示\n",
    "#  请把plt.show()的结果保存到  out.png  中\n",
    "#  要求使用bbox_inches属性实现显示结果尽量少空白内容\n",
    "plt.savefig('out.png',bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "6.给局部狗图添加噪音"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np#引入numpy数组\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt\n",
    "np.random.seed(2021)\n",
    "img=cv.imread(\"dog.jpg\",0)#用opencv以灰度图的形式引入\"dog.jpg\"图像，并将图像以numpy数组形式存入img中\n",
    "img=img[500:1100,100:600]#分别截取图片的高和宽，高[500,1100)左闭右开，宽[100,600)左闭右开\n",
    "h,w=img.shape#获取图像的高度和宽度\n",
    "noise=np.random.randn(h,w)*20#获得高h宽w的正态分布随机数组，并将其中每个值放大20倍，获得噪音数组\n",
    "addimg=img+noise#图像加噪音\n",
    "plt.imshow(addimg,cmap='gray')#以灰度图的形式绘制img_noisy图像\n",
    "plt.savefig('out.png',bbox_inches='tight')#  plt.show()  测试代码不能直接显示\n",
    "#  请把plt.show()的结果保存到  out.png  中\n",
    "#  要求使用bbox_inches属性实现显示结果尽量少空白内容"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
